Perform a topological sort for the following DAG. Assume that DFS prioritizes vertices in alphabetical order. m X U y V W

Q: ..., Vn} Let G be an undirected, connected graph with vertex set V(G) = {v₁, v₂, ..., and edge set…

A: 1. Option 1 is false as a vertex may be formed from more than 1 on edges as well. So number of 1 in…

Q: 0 0 0 0 0 0 1 0 1 0 1 0, 1 1 11 Consider the directed graph (digraph) represented with this…

A:

Q: Run Dijkstra's algorithm on the weighted graph below, starting at vertex A. Show every step in the…

A: In the below figure gave  step step explanation.

Q: Q4. Find the shortest path from vertex 'S’ to 'T’ by Dijkstra’s algorithm for the weighted graph: 6…

A: Given weighted graph:

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Q: Assume that the Floyd-Warshall algorithm is applied on a directed graph H. The graph H is…

A: Answer the above question are as follows:

Q: Give a topological sort for this graph. * Select next Vertex in alphabetical order * List the…

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Q: 2. Topologically sort the vertices of the digraph below. Your answer should be a sequence (list) of…

A: The topological sorting algorithm takes a directed graph and returns an array of the nodes, with…

Q: D I A E H F В G Suppose you run a topological sort on the shown graph starting at vertex B. Use the…

A: It takes as input a directed graph G(V,E) and produces as output set of vertices where each vertex…

Q: 6. An adjacency matrix is given below: A B FG A0 1 0 1 1 0 0 B0 0 0 0 0 0 1 c0 1 0 0 0 0 0 D0 0 1 0…

A: Draw all vertices. Wherever you find 1 in matrix, pick vertices and draw a direct path in between…

Q: ii. 1 4. Represent the above undirected graph using i. adjacency matrix adjacency list 3 2 4 5

A: Solution: a> The nearness matrix, generally conjointly known as the affiliation matrix, of a…

Q: Let G = (V,E) be a graph on n vertices. The algorithm calculates the connectivity of G.

A: A graph is a non-linear data structure consisting of vertices and edges. A vertex is sometimes…

Q: Assume Kruskal's algorithm is run on this graph. What are the first two edges added to the MST? E D…

A: MST formed will be as follows: A-B ->1 C-E ->1 B-C ->2 C-D ->2 Here, the total cost will…

Q: Consider the graph in following. Suppose the nodes are stored in memory in a linear array DATA as…

A: Adjacency matrix A:

Q: 5. True or False: If G is a complete graph (i.e. each pair of vertices is connected by an edge)…

A: 4. Size of B(G) is θ(n*m) This is because the matrix has n rows and m .columns

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: Exercise 4. Let D be a digraph. 1. Suppose that 8+ (D) ≤ 1 and let C be a cycle in D. Show that C is…

A: Directed Cycles:Directed cycles refer to a sequence of vertices in a directed graph where there is…

Q: 2. (Error-correcting codes x planarity.) Let n be a positive integer. Define the graph H, as…

A: I am answering only part (a) as I have insufficient knowledge for (b). (a) Hamming distance is…

Q: 90 - 40 50- 80 130 110. 70 S 150 60 30 10 120 140 20 100

A: Steps: 1. Sort all the edges in non-decreasing order of their weight. 2. Pick the smallest edge.…

Q: Consider the following directed graph. H A F В E D 1. Perform depth-first search with timing…

A: DFS: Depth first Search or Depth first traversal is a recursive algorithm for searching all the…

Q: 2. Perform topological sort on the following graph starting at node B: A B F

A: Topological sort has been used to solve the given DAG

Q: As described in the reading and lecture, an adjacency matrix for a graph with n vertices number 0,…

A: In adjacency matrix representation of a graph, the matrix mat[][] of size n*n (where n is the number…

Q: You are given a coordinated chart of n vertices and m edges. Vertices are numbered from 1 to n.…

A: Here have to determine about the Graph Transpositions  programming problem statement.

Q: How many entries would the adjacency list representation for the following graph contain? (Assume…

A: Generally, an Adjacency List is used for representing graphs. For every vertex in the graph, we have…

Q: Given the following graph, perform BFS and DFS starting at Vertex a. b e

A: We recognize that during BFS we use queue statistics shape and in DFS we use stack statistics shape.…

Q: We have the following directed graph G, where the number on each edge is the cost of the edge. 1.…

A: Answer: We need to know about the Dijkstra's algorithms. and also we will know hoe it works and also…

Q: Find a topological sort of the following graph using DFS. You must label each vertex ソ with its DFS…

A: DFS :- Depth First Search It is a recursive algorithm for searching all the vertices of a graph . C

Q: The number of elements in the adjacency matrix of a graph having 7 vertices is: O a. 36 O b. 7 O c.…

A: Here is the epxlanation of adjacency matrix of a graph having 7 vertices. See below steps.

Q: Consider the following edge-weighted graph G with 9 vertices and 16 edges: 90 Q6.1 Kruskal 0 40 50…

A: A minimum spanning tree is a tree that has minimum lengths or weights on its edges hence forming a…

Q: For the following graph, list the vertices in the order they might be encountered in a depth first…

A: DFS algorithm: Step1: Push the starting node onto the stack. Steps 2 and 3 are repeated until the…

Q: the largest shortest path distance. (III) Compute the shortest path from w to every other vertex.…

A: A graph is a data structure used in computer science and mathematics that is made up of a finite…